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Finding the Fourth Proportional to 9,696.35, 14,544.57 and 3,852.95

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Solution

The fourth proportional to 9,696.35, 14,544.57 and 3,852.95 is: 5,779.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.35 : 14,544.57 = 3,852.95 : x
  2. Step 2: Convert to fraction form
    9,696.35/14,544.57 = 3,852.95/x
  3. Step 3: Cross multiply
    9,696.35x = 14,544.57 × 3,852.95
  4. Step 4: Simplify right side
    9,696.35x = 56,039,428.26
  5. Step 5: Solve for x
    x = 56,039,428.26/9,696.35
  6. Step 6: Final answer
    x = 5,779.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.